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Finding the Third Proportional to 35,363.25 and 77,827.50

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Solution

The third proportional to 35,363.25 and 77,827.50 is: 171,282.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,363.25 : 77,827.50 = 77,827.50 : x
  2. Step 2: Convert to fraction form
    35,363.25/77,827.50 = 77,827.50/x
  3. Step 3: Cross multiply
    35,363.25x = 77,827.50 × 77,827.50
  4. Step 4: Simplify right side
    35,363.25x = 6,057,119,756.25
  5. Step 5: Solve for x
    x = 6,057,119,756.25/35,363.25
  6. Step 6: Final answer
    x = 171,282.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.